242193600 has 378 divisors, whose sum is σ = 952990220. Its totient is φ = 58291200.

The previous prime is 242193583. The next prime is 242193613. The reversal of 242193600 is 6391242.

242193600 is a `hidden beast` number, since 2 + 42 + 19 + 3 + 600 = 666.

242193600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742331 + ... + 1742469.

Almost surely, 2^242193600 is an apocalyptic number.

242193600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476495110).

242193600 is an abundant number, since it is smaller than the sum of its proper divisors (710796620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242193600 is a wasteful number, since it uses less digits than its factorization.

242193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 242193600 is about 15562.5704817681. The cubic root of 242193600 is about 623.3341022674.

The spelling of 242193600 in words is "two hundred forty-two million, one hundred ninety-three thousand, six hundred".